Is the value consistent with your answer to part (b)?
=
$$
−
μW
(
μcos
(
θ
)
−
sin
(
θ
))(
μsin
(
θ
)+
cos
(
θ
))2
dF
d
θ
Yes, the value from the graph is consistent with the value in part (b).
No, the value from the graph is not consistent with the value in part (b).

7.
3/3 points |
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SCalcET7 3.3.510.XP.
Find an equation of the tangent line to the curve at the given point.
=
,
P
= (0,
9
)
9
sin
x
+ cos
lim
t
→
0
(sin
5
t
)
8.
3/3 points |
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SCalcET7 3.3.515.XP.
Find the limit for the given function.
9.
1/1 points |
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SCalcET7 3.3.054.
A semicircle with diameter
PQ
sits on an isosceles triangle
PQR
to form a region shaped like a two-dimensional ice-cream cone, as shown
in the figure. If
A
(
θ
) is the area of the semicircle and
B
(
θ
) is the area of the triangle, find
y
=
,
P
= (0,
9
)
9
sin
x
+ cos
lim
t
→
0
(sin
5
t
)
x
2
B

10.
1/1 points |
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SCalcET7 3.3.005.
Differentiate.
y'
=
$$((
sec
(
θ
)
tan
(
θ
))
tan
(
θ
))+
sec
(
θ
)(
sec
2(
θ
))
11.
1/1 points |
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SCalcET7 3.3.015.
Differentiate.

f '
(
x
) =
$$(9
ex
+9
xex
)(
csc
(
x
))+(9
xex
)(
−
csc
(
x
)
cot
(
x
))
12.
8/8 points |
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A stunt cyclist needs to make a calculation for an upcoming cycle jump. The cyclist is traveling 100 ft/sec toward an inclined ramp which
ends 10 feet above a level landing zone. Assume the cyclist maintains a constant speed up the ramp and the ramp is inclined
A
o
(degrees)
above horizontal. With the pictured imposed coordinate system, the parametric equations of the cyclist will be:
x(t) = 100t cos(A)
y(t) = –16t
2
+ 100t sin(A) + 10.